{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:04:43Z","timestamp":1772294683625,"version":"3.50.1"},"reference-count":10,"publisher":"Elsevier BV","issue":"1-2","license":[{"start":{"date-parts":[[2003,2,1]],"date-time":"2003-02-01T00:00:00Z","timestamp":1044057600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics and Computers in Simulation"],"published-print":{"date-parts":[[2003,2]]},"DOI":"10.1016\/s0378-4754(02)00193-3","type":"journal-article","created":{"date-parts":[[2003,2,4]],"date-time":"2003-02-04T17:52:53Z","timestamp":1044381173000},"page":"3-9","source":"Crossref","is-referenced-by-count":18,"title":["Equations for bi-directional waves over an uneven bottom"],"prefix":"10.1016","volume":"62","author":[{"given":"M.","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0378-4754(02)00193-3_BIB1","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/0022-0396(84)90160-8","article-title":"Regularity and uniqueness of solutions to the Boussinesq system of equations","volume":"54","author":"Amick","year":"1984","journal-title":"J. Differ. Equat."},{"key":"10.1016\/S0378-4754(02)00193-3_BIB2","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/S0167-2789(97)00249-2","article-title":"A Boussinesq system for two-way propagation of non-linear dispersive waves","volume":"116","author":"Bona","year":"1998","journal-title":"Physica D"},{"key":"10.1016\/S0378-4754(02)00193-3_BIB3","unstructured":"J.L. Bona, M. Chen, J.-C. Saut, Boussinesq equations for small-amplitude long-wavelength water waves, 2000 (Preprint)."},{"key":"10.1016\/S0378-4754(02)00193-3_BIB4","doi-asserted-by":"crossref","unstructured":"M. Chen, Solitary-wave and multi-pulsed traveling-wave solutions of Boussinesq systems, Appl. Anal., in press.","DOI":"10.1080\/00036810008840844"},{"key":"10.1016\/S0378-4754(02)00193-3_BIB5","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1017\/S0305004100047605","article-title":"On the development of a solitary wave moving over an uneven bottom","volume":"73","author":"Johnson","year":"1972","journal-title":"Proc. Camb. Phil. Soc."},{"key":"10.1016\/S0378-4754(02)00193-3_BIB6","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1017\/S0022112069002461","article-title":"The transformation of a solitary wave over an uneven bottom","volume":"39","author":"Madsen","year":"1969","journal-title":"J. Fluid Mech."},{"key":"10.1016\/S0378-4754(02)00193-3_BIB7","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1017\/S0022112067002605","article-title":"Long waves on a beach","volume":"27","author":"Peregrine","year":"1967","journal-title":"J. Fluid Mech."},{"key":"10.1016\/S0378-4754(02)00193-3_BIB8","doi-asserted-by":"crossref","unstructured":"D.H. Peregrine, Equations for water waves and the approximation behind them, in: Waves on Beaches and Resulting Sediment Transport, Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, New York, Academic Press, New York, 1972, pp. 95\u2013121.","DOI":"10.1016\/B978-0-12-493250-0.50007-2"},{"key":"10.1016\/S0378-4754(02)00193-3_BIB9","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1016\/0022-0396(81)90108-X","article-title":"Existence of solutions for the Boussinesq system of equations","volume":"42","author":"Schonbek","year":"1981","journal-title":"J. Differ. Equat."},{"key":"10.1016\/S0378-4754(02)00193-3_BIB10","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1017\/S0022112087002817","article-title":"Generation of upstream advancing solitons by moving disturbances","volume":"184","author":"Wu","year":"1987","journal-title":"J. Fluid Mech."}],"container-title":["Mathematics and Computers in Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475402001933?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475402001933?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,2]],"date-time":"2019-04-02T06:55:28Z","timestamp":1554188128000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0378475402001933"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,2]]},"references-count":10,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2003,2]]}},"alternative-id":["S0378475402001933"],"URL":"https:\/\/doi.org\/10.1016\/s0378-4754(02)00193-3","relation":{},"ISSN":["0378-4754"],"issn-type":[{"value":"0378-4754","type":"print"}],"subject":[],"published":{"date-parts":[[2003,2]]}}}